The spectral decomposition for a class of linear transport operators

DOI10.1007/BF01020792zbMath0512.47021MaRDI QIDQ1839423

Carlo Cercignani, Vladimir A. Protopopescu

Publication date: 1982

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

spectral decompositiontwo-dimensional spectrumgeneralized eigenfunction expansionscattering kernelsenergy-dependent collision frequencylinear transport Boltzmann operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transport processes in time-dependent statistical mechanics (82C70) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• On the spectral decompositions of the linear transport operator with periodic boundary conditions
• Asymptotic equivalence between the hydrodynamic and kinetic stages for the Lorentz model
• On the perturbation of continuous spectra

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